%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN049+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:36:40 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   42 (  16   ~;   7   |;  12   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   23 (  13   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(subsumption_resolution,[],[f11,f9]) ).

fof(f9,plain,
    ! [X0] : big_p(X0),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0] :
      ( ( big_q(sK0(X0))
        | ~ big_p(sK1(X0)) )
      & big_p(X0)
      & ~ big_q(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f6]) ).

fof(f6,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( ( big_q(X1)
            | ~ big_p(X2) )
          & big_p(X0)
          & ~ big_q(X0) )
     => ( ( big_q(sK0(X0))
          | ~ big_p(sK1(X0)) )
        & big_p(X0)
        & ~ big_q(X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ! [X0] :
    ? [X1,X2] :
      ( ( big_q(X1)
        | ~ big_p(X2) )
      & big_p(X0)
      & ~ big_q(X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,plain,
    ! [X0] :
    ? [X2,X1] :
      ( ( big_q(X2)
        | ~ big_p(X1) )
      & big_p(X0)
      & ~ big_q(X0) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ! [X0] :
    ? [X2,X1] :
      ( ~ big_q(X0)
      & big_p(X0)
      & ( big_q(X2)
        | ~ big_p(X1) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
      ! [X2,X1] :
        ( ( big_p(X1)
         => big_q(X2) )
       => ( big_p(X0)
         => big_q(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] :
    ! [X2,X1] :
      ( ( big_p(X1)
       => big_q(X2) )
     => ( big_p(X0)
       => big_q(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel19) ).

fof(f11,plain,
    ! [X0] : ~ big_p(sK1(X0)),
    inference(subsumption_resolution,[],[f10,f8]) ).

fof(f8,plain,
    ! [X0] : ~ big_q(X0),
    inference(cnf_transformation,[],[f7]) ).

fof(f10,plain,
    ! [X0] :
      ( big_q(sK0(X0))
      | ~ big_p(sK1(X0)) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN049+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:28:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  % (20911)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.51  % (20932)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.21/0.51  % (20932)First to succeed.
% 0.21/0.51  % (20932)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (20932)------------------------------
% 0.21/0.51  % (20932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (20932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (20932)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (20932)Memory used [KB]: 895
% 0.21/0.51  % (20932)Time elapsed: 0.114 s
% 0.21/0.51  % (20932)------------------------------
% 0.21/0.51  % (20932)------------------------------
% 0.21/0.51  % (20904)Success in time 0.155 s
%------------------------------------------------------------------------------